Question

In between classes, Jade plays a game of online Monopoly on her laptop. Using the sample space for rolling two dice that you created in the Group portion of this lesson, find the probability that when Jade rolls the two dice, she gets the outcome given. Express your answers in exact simplest form

Answer 1

The probability of Jade rolling a sum of 7 on two dice is 1/6.

Step-by-step explanation:

When rolling two dice, the sample space consists of all possible outcomes. In this case, the sample space S = {1, 2, 3, 4, 5, 6} for each of the two dice. Since there are 6 possible outcomes for each die, the total number of outcomes in the sample space is 6x6 = 36.

To find the probability that Jade gets a specific outcome when rolling the two dice, we need to determine the number of favorable outcomes and divide it by the total number of outcomes in the sample space.

Let's say Jade wants to roll a sum of 7. There are 6 outcomes in which the sum of the rolled numbers is 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). Therefore, there are 6 favorable outcomes for achieving a sum of 7.

The probability of getting a sum of 7 is given by:

P(sum of 7) = number of favorable outcomes / total number of outcomes = 6/36 = 1/6.